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Finding the Fourth Proportional to 230,871.76, 346,167.48 and 90,462.16

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Solution

The fourth proportional to 230,871.76, 346,167.48 and 90,462.16 is: 135,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,871.76 : 346,167.48 = 90,462.16 : x
  2. Step 2: Convert to fraction form
    230,871.76/346,167.48 = 90,462.16/x
  3. Step 3: Cross multiply
    230,871.76x = 346,167.48 × 90,462.16
  4. Step 4: Simplify right side
    230,871.76x = 31,315,057,962.56
  5. Step 5: Solve for x
    x = 31,315,057,962.56/230,871.76
  6. Step 6: Final answer
    x = 135,638.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.